Chapter 4.2, Problem 66PE

(a)

To determine

Is the graph of P is an increasing or decreasing exponential function, if the population $P\left(t\right)$ (in millions) can be approximated by $P\left(t\right)=34{\left(1.00804\right)}^t$, where t is the time in years since 2010.

(b)

To determine

The value of $P\left(0\right)$ and interpret its meaning in the context of the problem if the population $P\left(t\right)$ (in millions) can be approximated by $P\left(t\right)=34{\left(1.00804\right)}^t$, where t is the time in years since 2010 and $t=0$.

(c)

To determine

The value of $P\left(5\right)$ and interpret its meaning in the context of the problem if the population $P\left(t\right)$ (in millions) can be approximated by $P\left(t\right)=34{\left(1.00804\right)}^t$, where t is the time in years since 2010 and $t=5$.

(d)

To determine

The values of $P\left(15\right),P\left(25\right)$, and $P\left(200\right)$ for the function $P\left(t\right)=34{\left(1.00804\right)}^t$